8214226057107 has 24 divisors (see below), whose sum is σ = 14027578163040. Its totient is φ = 4531986789120.

The previous prime is 8214226057097. The next prime is 8214226057127. The reversal of 8214226057107 is 7017506224128.

8214226057107 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 22 + 605 + 7 + 10 + 7 = 666.

It is not a de Polignac number, because 8214226057107 - 2²⁴ = 8214209279891 is a prime.

It is a super-2 number, since 2×8214226057107² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8214226057127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248007494 + ... + 2248011147.

It is an arithmetic number, because the mean of its divisors is an integer number (584482423460).

Almost surely, 2^{8214226057107} is an apocalyptic number.

8214226057107 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

8214226057107 is a deficient number, since it is larger than the sum of its proper divisors (5813352105933).

8214226057107 is a wasteful number, since it uses less digits than its factorization.

8214226057107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496018683 (or 4496018680 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 8214226057107 in words is "eight trillion, two hundred fourteen billion, two hundred twenty-six million, fifty-seven thousand, one hundred seven".